Final answer:
The resultant velocity of the river is 3 m/s to the east and -6 m/s to the south.
Step-by-step explanation:
To find the resultant velocity of the river, we use vector addition. We can break down the velocities into their x and y components. Shayla's velocity has an x component of 3 m/s to the east and a y component of 0 m/s. The river's velocity has an x component of 0 m/s and a y component of -6 m/s to the south.
To find the resultant velocity, we add the x components and the y components separately. The x component is 3 m/s and the y component is -6 m/s. Therefore, the resultant velocity of the river is 3 m/s to the east and -6 m/s to the south.